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Finding the Fourth Proportional to 8,536.65, 12,806.34 and 2,989.86

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Solution

The fourth proportional to 8,536.65, 12,806.34 and 2,989.86 is: 4,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.65 : 12,806.34 = 2,989.86 : x
  2. Step 2: Convert to fraction form
    8,536.65/12,806.34 = 2,989.86/x
  3. Step 3: Cross multiply
    8,536.65x = 12,806.34 × 2,989.86
  4. Step 4: Simplify right side
    8,536.65x = 38,289,163.71
  5. Step 5: Solve for x
    x = 38,289,163.71/8,536.65
  6. Step 6: Final answer
    x = 4,485.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.